Granderson's second hit was his first extra-base hit of the season, a double, since returning from the disabled list.
Earlier Wednesday, Granderson and Joe Girardi discussed his struggles at the plate and said he was on the verge of getting hot. It appears they were correct.
Bumgarner went seven innings, allowing four hits and two walks. The run came on a solo home run by Bryce Harper that opened the scoring in the sixth inning. Bumgarner struck out five on 115 pitches but earned a no-decision.
Bumgarner's ERA dropped to 2.89 as he bounced back from his worst start of the season. Bumgarner (4-2) will go for his fifth win Tuesday against the Athletics.
Bautista, who has 11 homers and 27 RBI, added a walk and is batting .275. The 32-year-old has four homers in his last eight games, though they have come in two multi-HR efforts.
Janssen has allowed three earned runs on five hits and a walk in his last two appearances to raise his ERA to 2.40 from 0.69.
The other options appear to be Chad Jenkins and prospect Sean Nolin, which have been previously reported.
Stroman's next scheduled start is Friday after making an appearance with Double-A New Hampshire. He struck out six over five scoreless innings in that outing.
"Stroman, Nolin, you got those guys that we're high on," manager John Gibbons said Wednesday. "Those are guys we're going to count on down the road."
Despite manager Bud Black saying he would return Wednesday,
Quentin has played in two games over the last week.
Dempster flew to Boston to get a full night of sleep in advance of his start Thursday against the Indians. He skipped his normal bullpen session Tuesday and made throws from flat ground.
"Talking with him as far as how his arm felt coming out of his last start, he didn't feel like there was any changes or lingering effect from the pitches he did throw," Sox manager John Farrell said.
Gonzalez held the Giants to a run in 7 1/3 innings. He walked Angel Pagan with one out in the eighth inning then was pulled for reliever Drew Storen. He allowed four hits and two walks, while striking out five. He threw a season-high 116 pitches.
Gonzalez, who has lowered his ERA to 3.66 with four quality starts in a row, will next start Tuesday against the Orioles.
Morales has allowed six runs over 12 innings through four minor league rehab appearances. Boston is stretching him out to start but doesn't have an opening in the rotation.
"The fact is, he’s getting up and down multiple times with the innings pitched and coming out of each start with no issues," manager John Farrell said. "Everything is moving according to what our initial thoughts were with him. Once we get through tomorrow, we’ll re-evaluate that and see what the needs are here and certainly where he fits in."
Rodney walked Adam Lind with one out in the inning and was pulled by manager Joe Maddon. Joel Peralta finished the inning to send the game into extra innings.
Rodney has allowed runs in three of his last four appearances and has blown three of his four saves over his last nine outings. His ERA is 5.40.